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Finding the Third Proportional to 54,031 and 86,814

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Solution

The third proportional to 54,031 and 86,814 is: 139,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,031 : 86,814 = 86,814 : x
  2. Step 2: Convert to fraction form
    54,031/86,814 = 86,814/x
  3. Step 3: Cross multiply
    54,031x = 86,814 × 86,814
  4. Step 4: Simplify right side
    54,031x = 7,536,670,596
  5. Step 5: Solve for x
    x = 7,536,670,596/54,031
  6. Step 6: Final answer
    x = 139,487.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.